question_answer

Let\[z,w\]be complex numbers such that \[\overline{z}=i\overline{w}=0\] and \[arg(zw)=\pi \]. Then, \[\arg (z)\] equals

A) \[\frac{\pi }{4}\]              

B)                        \[\frac{\pi }{2}\]                              

C) \[\frac{3\pi }{4}\]                            

D)                        \[\frac{5\pi }{4}\]

Correct Answer: C

Solution :

Since,   Also,